How to Find GCF of 1208/618, 8363/9790?

GCF of 1208/618, 8363/9790

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1208/618, 8363/9790 i.e 1/3025110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1208/618, 8363/9790.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1208/618,8363/9790?

Given fractions are 1208/618,8363/9790

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1208/618,8363/9790, numerators are 1208,8363

Denominators are 618,9790

The GCF of 1208,8363 is 1 .

LCM of 618,9790 is 3025110.

The greatest common factor of 1208/618,8363/9790 = [GCF of 1208,8363]/[LCM of 618,9790]= 1/3025110

Therefore, the GCF of 1208/618,8363/9790 is 1/3025110.

Greatest Common Factor of 1208,8363

To find the highest common factor of 1208,8363, we have to find the factors of both numbers and list the highest common factor.

The factors of 1208 are 1, 2, 4, 8, 151, 302, 604, 1208

The factors of 8363 are 1, 8363

The HCF of 1208,8363 is 1.

Lets's calculate GCF of 1208,8363

Greatest Common Factor (GCF) of 1208,8363 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1208,8363 By Matching Biggest Common Factor Method

Now, list down the factors of 1208

1,2,4,8,151,302,604,1208

Now, list down the factors of 8363

1,8363

Greatest Common Factor

We found the factors 1208,8363 . The biggest common factor number is the GCF number.
So the greatest common factor 1208,8363 is 1.

Lets's calculate LCM of 618,9790

Lowest Common Multiple of 618,9790 using Common Division

2	618, 9790
	309, 4895

∴ So the LCM of the given numbers is 2 x 309 x 4895 = 3025110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3025110

Therefore, the GCF of Fractions 1208/618,8363/9790 is 1/3025110

Least Common Multiple of 618,9790 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 618,9790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,9790) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(618,9790) x common factors =2 x 1 = 2

LCM(618,9790) = ( 618 × 9790 ) / 2

LCM(618,9790) = 6050220 / 2

LCM(618,9790) = 3025110

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FAQs on GCF of Fractions of 1208/618, 8363/9790

1. What is the HCF of 1208,8363?

The HCF of 1208,8363 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 1208/618, 8363/9790?

Answer: GCF of Numerators as per given numbers 1208/618, 8363/9790 is

GCF of Numerators i.e. for 1208,8363 is 1

LCM of denominators i.e. for 618,9790 is 3025110.

Thus, GCF of Fractions is 1/3025110.Finally, GCF of Fractions for 1208/618, 8363/9790 is 1/3025110.